Home
Class 7
MATHS
<b>In the given figure, AB=AC and AD is ...

In the given figure, `AB=AC and AD` is the bisector of ? `BAC.` (i) State three pairs of equal parts in triangles `ADB and ADC.` (ii) Is `DeltaADB cong DeltaADC` ? Given reasons. (iii) Is `angleB=angleC` ? Given reasons

Text Solution

Verified by Experts

`1)AB=AC`(given)
`angleBAD=angleCAD`(angle bisector)
`AD=AD`(Common)
`2) /_ABD cong /_ADC(SAS)`
`3) angleB=angleC`
(because `/_ABD cong /_ADC(SAS)`).
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE OF TRIANGLES

    NCERT|Exercise EXERCISE 7.1|4 Videos
  • COMPARING QUANTITIES

    NCERT|Exercise SOLVED EXAMPLES|21 Videos
  • DATA HANDLING

    NCERT|Exercise EXERCISE 3.3|3 Videos

Similar Questions

Explore conceptually related problems

In the figure,AB=AD and BC=DC( i) State three pairs of equal parts in /_ABC and /_ADC( ii) Is /_ABC~=/_ADC? Give reasons (iii) Does AC bisect /_BAD? Give reasons

ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48). (a) State three pairs of equal parts in the triangles ABD and ACD.

In fig 7.13, AD=CD and AB=CB. (i) state the three pairs of equal in Delta ABD and DeltaCBD. (iii) Is DeltaABD [-=~?] DeltaCBD ? Why or why not ? (iii) Does BD bisect ? ABC ? Given reasons

Observe Fig. 6.54 and state the three pairs of equal parts in triangles ABC and DBC. (i) Is ∆ABC ≅ ∆DCB ? Why? (ii) Is AB = DC? Why? (iii) Is AC = DB? Why

In the given figure , AC gt AB and AD bisects angle BAC Prove that angle ADC gt ADB

In the given figure, AD is the bisector of angleBAC . Prove that triangles ABD and ADC are congruent, if AB=AC.

In the given figure, AD is the bisector of angleBAC,AB=6cm,AC=5cm and BD=3cm , find DC.

In the figure AB and CD bisect each other at O. (i) state the three pairs of equal parts in two triangles AOC and BOD (ii) which of the following statements are true? (a) /_AOC~=/_DOB(b)/_AOC~=/_BOD

In Fig. 6.49, it is given that LM = ON and NL = MO (a) State the three pairs of equal parts in the triangles NOM and MLN. (b) Is ∆NOM ≅ ∆MLN . Give reason

In the given figure,if AB= AC, angle BAD=30^(@)and AE=AD, then x is equal to